The correct answer is C.
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
Answer:
30.48 centimeters
Step-by-step explanation:
We know that:
2.54 cm = 1 inch
To find how many centimeters are in 12 inches, you should:
2.54 x 12 = 30.48
So Jacob’s pieces of yarn should be 30.48 centimeters long.
Hope this helps!
<span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
To solve this equation, first apply the Distributive Property. The Distributive Property is defined as a(b + c) = ab + ac. We'll need to apply it three times for this equation.
8(t + 2) => 8t + 16
-3(t - 4) => -3t + 12
6(t - 7) => 6t - 42
This gives us
</span>8(t + 2) - 3(t - 4) = 6(t - 7) + 8
8t + 16 - 3t + 12 = 6t - 42 + 8
Next, combine like terms (constants with constants and variable terms with variable terms).
8t + 16 - 3t + 12 = 6t - 42 + 8
5t + 28 = 6t - 34
Now we need to get all constants on one side and all variable terms on the other side. Begin doing so by first subtracting 28 from both sides.
5t + 28 = 6t - 34
5t = 6t - 62
Subtract 6t from both sides.
5t = 6t - 62
-t = -62
Divide both sides by -1.
t = 62
Answer:
t = 62
27 x 26 x 28 x 34 x 45 = 30,073,680
Answer:
x=3/10y+-1/2
Step-by-step explanation:
Add -3y to both sides
-10x+3y=5
-3y -3y
-10x=3y+5
Divide both sides by -10
-10x=3y+5
_________
-10 -10
x=3/10y+-1/2
